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X-WR-CALNAME:GREYC UMR CNRS 6072 - Groupe de Recherche en Informatique, Image, et Instrumentation de Caen
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X-WR-CALDESC:évènements pour GREYC UMR CNRS 6072 - Groupe de Recherche en Informatique, Image, et Instrumentation de Caen
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DTSTART:20250330T010000
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DTSTART;TZID=Europe/Paris:20250206T141500
DTEND;TZID=Europe/Paris:20250206T151500
DTSTAMP:20260421T134216
CREATED:20250113T102859Z
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UID:11765-1738851300-1738854900@www.greyc.fr
SUMMARY:Séminaire Image : "Mathematical foundations of a level-set-based shape convex hull identification algorithm"\,  Carole Le Guyader
DESCRIPTION:Nous aurons le plaisir d’écouter Carole Le Guyader\, Laboratoire LMI\, INSA Rouen.\nElle donnera un séminaire IMAGE le jeudi 6 février 2025 à 14h15 en salle de séminaire F-200. \nTitre : « Mathematical foundations of a level-set-based shape convex hull identification algorithm » \nRésumé :\nIn this work\, we introduce a proper mathematical framework to analyse a novel object convex hull extraction algorithm phrased in a level-set framework. The convex shape to be identified is modelled as the zero level-line of an unknown signed-distance function viewed as a minimiser of a suitably designed functional. This latter is stated in a subspace of the Special Bounded Hessian function space\, whilst a non-negativity criterion satisfied by the absolutely continuous part of the Laplacian of the unknown on the whole domain expresses the convexity constraint.\nA result of existence of minimisers is established for this preliminary problem. Then\, to implement this optimisation problem\, we provide a counterpart elliptic approximation\, complemented by a Γ-convergence result and a splitting-strategy-based algorithm involving subproblems with closed-form solutions. Numerical experiments showing that the proposed approach is an appropriate compromise between mathematical thoroughness and algorithmic relevancy conclude the presentation.
URL:https://www.greyc.fr/event/seminaire-image-mathematical-foundations-of-a-level-set-based-shape-convex-hull-identification-algorithm-carole-le-guyader/
LOCATION:ENSICAEN – Batiment F – Salle F-200\, 6 Bd Maréchal Juin\, Caen\, 14050\, France
CATEGORIES:Image,Seminaire Image
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